February 26th, 2008, 04:35 PM  #1 
Newbie Joined: Jan 2008 Posts: 5 Thanks: 0  real analysis?
1. For x>1, x not = 0, show that: (1+x)^a > 1+ax, if a>1 or a<0, (1+x)^a < 1+ax, if 0<a<1 2. Prove that if F is continuous of [a,b] and differentiable on (a,b) and if F’(x) is not zero for any x strictly between a and b, then F(b) not equal to F(a) 3. Show the approximate formula SqRt(1+x) = 1 + 1/2x  1/8x^2 gives SqRt(1+x) with an error not greater than x^3 / 2, if x < 1/2 

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analysis, real 
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